Finite Group Databasebeta

← D17×#2518 #17203324

Subgroups — D17×#2518 #17203324

Order 4352.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14533449C211yesmaximal, characteristic, complemented
2#14533448C211yesmaximal, characteristic, complemented
3#14533447C211yesmaximal, characteristic, complemented
4#14533446C211yesmaximal, characteristic, complemented
5#14533445C211yesmaximal, characteristic, complemented
6#14533444C211yesmaximal, characteristic, complemented
7#14533443C211yesmaximal, characteristic, complemented
8#14533442C211yesmaximal, characteristic, complemented
9#14533441C211yesmaximal, characteristic, complemented
10#14533440C211yesmaximal, characteristic, complemented
11#14533439C211yesmaximal, characteristic, complemented
12#14533438C211yesmaximal, characteristic, complemented
13#14533437C211yesmaximal, characteristic, complemented
14#14533436C211yesmaximal, characteristic, complemented
15#14533435C211yesmaximal, characteristic, complemented
16D17×#397C211yesmaximal, characteristic, complemented
17D17×#396C211yesmaximal, characteristic, complemented
18D17×#394C211yesmaximal, characteristic
19D17×#394C211yesmaximal, characteristic
20D17×#389C211yesmaximal, characteristic, complemented
21D17×#388C211yesmaximal, characteristic, complemented
22D17×#388C211yesmaximal, characteristic, complemented
23D17×#388C211yesmaximal, characteristic, complemented
24D17×#388C211yesmaximal, characteristic, complemented
25D17×#387C211yesmaximal, characteristic, complemented
26D17×#386C211yesmaximal, characteristic
27D17×#383C211yesmaximal, characteristic, complemented
28D17×#382C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D17C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D17C211yesmaximal, characteristic, complemented
31C17×#2518C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34C2×C4⋊C4×D17C2211yescharacteristic
35C2×C4⋊C4×D17C2211yescharacteristic
36C2×C4⋊C4×D17C2211yescharacteristic
37C2×C4⋊C4×D17C2211yescharacteristic
38C2×C4⋊C4×D17C2211yescharacteristic
39C2×C4⋊C4×D17C2211yescharacteristic
40C2×C22⋊C4×D17C2211yescharacteristic
41C2×C22⋊C4×D17C2211yescharacteristic
42C2×C22⋊C4×D17C2211yescharacteristic
43C2×C22⋊C4×D17C2211yescharacteristic
44C2×C22⋊C4×D17C2211yescharacteristic
45C2×C22⋊C4×D17C2211yescharacteristic
46C2×C22⋊C4×D17C2211yescharacteristic
47C2×C22⋊C4×D17C2211yescharacteristic
48C2×C22⋊C4×D17C2211yescharacteristic
49C2×C22⋊C4×D17C2211yescharacteristic
50C2×C22⋊C4×D17C2211yescharacteristic
51C2×C42×D17C2211yescharacteristic
52C2×C42×D17C2211yescharacteristic
53C2×C42×D17C2211yescharacteristic
54C2×C42×D17C2211yescharacteristic
55#11762738C2211yescharacteristic, complemented
56#11762738C2211yescharacteristic, complemented
57#11762737C2211yescharacteristic, complemented
58#11762737C2211yescharacteristic, complemented
59#11762736C2211yescharacteristic, complemented
60#11762735C2211yescharacteristic, complemented
61#11762734C2211yescharacteristic, complemented
62#11762733C2211yescharacteristic, complemented
63#11762732C2211yescharacteristic, complemented
64#11762732C2211yescharacteristic, complemented
65#11762732C2211yescharacteristic, complemented
66#11762731C2211yescharacteristic, complemented
67#11762731C2211yescharacteristic, complemented
68#11762731C2211yescharacteristic, complemented
69#11762727C2211yescharacteristic
70#11762727C2211yescharacteristic
71#11762726C2211yescharacteristic
72#11762726C2211yescharacteristic
73#11762725C2211yescharacteristic
74#11762725C2211yescharacteristic
75#11762725C2211yescharacteristic
76#11762725C2211yescharacteristic
77#11762724C2211yescharacteristic
78#11762724C2211yescharacteristic
79#11762724C2211yescharacteristic
80#11762724C2211yescharacteristic
81#11762723C2211yescharacteristic
82#11762723C2211yescharacteristic
83#11762708C2211yescharacteristic, complemented
84#11762707C2211yescharacteristic, complemented
85#11762706C2211yescharacteristic, complemented
86#11762706C2211yescharacteristic, complemented
87#11762705C2211yescharacteristic, complemented
88#11762704C2211yescharacteristic, complemented
89#11762704C2211yescharacteristic, complemented
90#11762703C2211yescharacteristic, complemented
91#11762703C2211yescharacteristic, complemented
92#11762703C2211yescharacteristic, complemented
93#11762703C2211yescharacteristic, complemented
94#11762702C2211yescharacteristic, complemented
95#11762702C2211yescharacteristic, complemented
96#11762702C2211yescharacteristic, complemented
97#11762702C2211yescharacteristic, complemented
98#11762701C2211yescharacteristic, complemented
99#11762701C2211yescharacteristic, complemented
100#11762701C2211yescharacteristic, complemented
101#11762701C2211yescharacteristic, complemented
102#11762700C2211yescharacteristic, complemented
103#11762700C2211yescharacteristic, complemented
104#11762700C2211yescharacteristic, complemented
105#11762700C2211yescharacteristic, complemented
106#11762699C2211yescharacteristic, complemented
107#11762699C2211yescharacteristic, complemented
108#11762699C2211yescharacteristic, complemented
109#11762699C2211yescharacteristic, complemented
110#11762698C2211yescharacteristic, complemented
111#11762698C2211yescharacteristic, complemented
112#11762698C2211yescharacteristic, complemented
113#11762698C2211yescharacteristic, complemented
114#11762697C2211yescharacteristic, complemented
115#11762697C2211yescharacteristic, complemented
116#11762697C2211yescharacteristic, complemented
117#11762697C2211yescharacteristic, complemented
118#11762696C2211yescharacteristic, complemented
119#11762695C2211yescharacteristic, complemented
120#11762694C2211yescharacteristic, complemented
121#11762693C2211yescharacteristic, complemented
122#11762692C2211yescharacteristic, complemented
123#11762691C2211yescharacteristic, complemented
124#11762690C2211yescharacteristic, complemented
125#11762689C2211yescharacteristic
126#11762688C2211yescharacteristic
127#11762687C2211yescharacteristic
128#11762687C2211yescharacteristic
129#11762686C2211yescharacteristic
130#11762685C2211yescharacteristic
131#11762685C2211yescharacteristic
132#11762677C2211yescharacteristic, complemented
133#11762676C2211yescharacteristic, complemented
134#11762676C2211yescharacteristic, complemented
135#11762676C2211yescharacteristic, complemented
136#11762676C2211yescharacteristic, complemented
137#11762676C2211yescharacteristic, complemented
138#11762676C2211yescharacteristic, complemented
139#11762675C2211yescharacteristic, complemented
140#11762674C2211yescharacteristic, complemented
141#11762674C2211yescharacteristic, complemented
142#11762673C2211yescharacteristic, complemented
143#11762673C2211yescharacteristic, complemented
144#11762673C2211yescharacteristic, complemented
145#11762673C2211yescharacteristic, complemented
146C22⋊C4×Dic17C2211yescharacteristic, complemented
147C22⋊C4×Dic17C2211yescharacteristic, complemented
148C22⋊C4×Dic17C2211yescharacteristic, complemented
149C22⋊C4×Dic17C2211yescharacteristic, complemented
150C4×#63227C2211yescharacteristic, complemented
151C4×#63227C2211yescharacteristic, complemented
152C4×#63227C2211yescharacteristic, complemented
153C4×#63227C2211yescharacteristic, complemented
154C4×C22⋊Dic17C2211yescharacteristic, complemented
155C4×C22⋊Dic17C2211yescharacteristic, complemented
156#11762656C2211yescharacteristic, complemented
157#11762656C2211yescharacteristic, complemented
158#11762656C2211yescharacteristic, complemented
159#11762656C2211yescharacteristic, complemented
160#95×D17C2211yescharacteristic
161#95×D17C2211yescharacteristic
162#95×D17C2211yescharacteristic
163#95×D17C2211yescharacteristic
164#95×D17C2211yescharacteristic
165#95×D17C2211yescharacteristic
166#95×D17C2211yescharacteristic
167#95×D17C2211yescharacteristic
168#95×D17C2211yescharacteristic
169#95×D17C2211yescharacteristic
170#95×D17C2211yescharacteristic
171#95×D17C2211yescharacteristic
172C17×#397C2211yescharacteristic, complemented
173C17×#396C2211yescharacteristic, complemented
174C17×#394C2211yescharacteristic
175C17×#394C2211yescharacteristic
176C17×#389C2211yescharacteristic, complemented
177C17×#388C2211yescharacteristic, complemented
178C17×#388C2211yescharacteristic, complemented
179C17×#388C2211yescharacteristic, complemented
180C17×#388C2211yescharacteristic, complemented
181C17×#387C2211yescharacteristic, complemented
182C17×#386C2211yescharacteristic
183C17×#383C2211yescharacteristic, complemented
184C17×#382C2211yescharacteristic, complemented
185C4×C22⋊C4×C17C2211yescharacteristic, complemented
186C4×C22⋊C4×C17C2211yescharacteristic, complemented
187C24×D17C2311yescharacteristic
188C24×D17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C23×C4×C17C2311yescharacteristic
191C22×C22⋊D17C2311yescharacteristic
192C22×C22⋊D17C2311yescharacteristic
193C23×Dic17C2311yescharacteristic
194C2×D4×D17—24no—
195C2×D4×D17—42no—
196C2×D4×D17—42no—
197C22×D68C2311yescharacteristic
198C22×C4×D17—24no—
199C22×C4×D17—24no—
200C22×C4×D17—42no—
201C22×C4×D17C2311yescharacteristic
202C22×C4×D17C2311yescharacteristic
203C22×C4×D17C2311yescharacteristic
204C22×C4×D17C2311yescharacteristic
205C22×C4×D17C2311yescharacteristic
206C22×C4×D17C2311yescharacteristic
207C22×C4×D17C2311yescharacteristic
208C22×C4×D17C2311yescharacteristic
209C22×C4×D17C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
211C22×C4×D17C2311yescharacteristic
212C22×C4×D17C2311yescharacteristic
213C22×C4×D17C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C2×C4⋊C4×C17C2311yescharacteristic
217C2×C4⋊C4×C17C2311yescharacteristic
218C2×C4⋊C4×C17C2311yescharacteristic
219C2×C4⋊C4×C17C2311yescharacteristic
220C2×C4⋊C4×C17C2311yescharacteristic
221C2×C4⋊C4×C17C2311yescharacteristic
222C2×C22⋊C4×C17C2311yescharacteristic
223C2×C22⋊C4×C17C2311yescharacteristic
224C2×C22⋊C4×C17C2311yescharacteristic
225C2×C22⋊C4×C17C2311yescharacteristic
226C2×C22⋊C4×C17C2311yescharacteristic
227C2×C22⋊C4×C17C2311yescharacteristic
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C22⋊C4×C17C2311yescharacteristic
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C42×C17C2311yescharacteristic
234C2×C42×C17C2311yescharacteristic
235C2×C42×C17C2311yescharacteristic
236C2×C42×C17C2311yescharacteristic
237C2×C22⋊Dic17C2311yescharacteristic
238C2×C22⋊Dic17C2311yescharacteristic
239C2×C22⋊Dic17C2311yescharacteristic
240C2×C22⋊Dic17C2311yescharacteristic
241C2×C22⋊Dic17C2311yescharacteristic
242C2×C22⋊Dic17C2311yescharacteristic
243C2×C22⋊Dic17C2311yescharacteristic
244C2×C22⋊Dic17C2311yescharacteristic
245C2×C22⋊Dic17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248C2×#63227C2311yescharacteristic
249C2×#63227C2311yescharacteristic
250C2×#63227C2311yescharacteristic
251C2×#63227C2311yescharacteristic
252C2×#63227C2311yescharacteristic
253C2×#63227C2311yescharacteristic
254C2×#63227C2311yescharacteristic
255C2×#63227C2311yescharacteristic
256C2×#63227C2311yescharacteristic
257C2×#63227C2311yescharacteristic
258C2×#63227C2311yescharacteristic
259C2×#63227C2311yescharacteristic
260C2×#63227C2311yescharacteristic
261C2×#63227C2311yescharacteristic
262C2×#63227C2311yescharacteristic
263C2×#63227C2311yescharacteristic
264C2×#63227C2311yescharacteristic
265C2×#63227C2311yescharacteristic
266C2×#63227C2311yescharacteristic
267C2×#63227C2311yescharacteristic
268C2×#63227C2311yescharacteristic
269C2×#63227C2311yescharacteristic
270C2×C4⋊Dic17C2311yescharacteristic
271C2×C4⋊Dic17C2311yescharacteristic
272C2×C4⋊Dic17C2311yescharacteristic
273C2×C4⋊Dic17C2311yescharacteristic
274C2×C4⋊Dic17C2311yescharacteristic
275C2×C4⋊Dic17C2311yescharacteristic
276C2×#63225C2311yescharacteristic
277C2×#63225C2311yescharacteristic
278C2×#63225C2311yescharacteristic
279C2×#63225C2311yescharacteristic
280C2×#63225C2311yescharacteristic
281C2×#63225C2311yescharacteristic
282C2×#63225C2311yescharacteristic
283C2×#63225C2311yescharacteristic
284C2×#63225C2311yescharacteristic
285C2×#63225C2311yescharacteristic
286C2×#63225C2311yescharacteristic
287C2×#63225C2311yescharacteristic
288C2×C4×Dic17C2311yescharacteristic
289C2×C4×Dic17C2311yescharacteristic
290C2×C4×Dic17C2311yescharacteristic
291C2×C4×Dic17C2311yescharacteristic
292C2×C4×Dic17C2311yescharacteristic
293C2×C4×Dic17C2311yescharacteristic
294C2×C4×Dic17C2311yescharacteristic
295C2×C4×Dic17C2311yescharacteristic
296C2×C4×Dic17C2311yescharacteristic
297C2×C4×Dic17C2311yescharacteristic
298C2×C4×Dic17C2311yescharacteristic
299C2×C4×Dic17C2311yescharacteristic
300C4⋊C4×D17—24no—
301C4⋊C4×D17—24no—
302C4⋊C4×D17—42no—
303C4⋊C4×D17—42no—
304C4⋊C4×D17—42no—
305C4⋊C4×D17—42no—
306C22⋊C4×D17—24no—
307C22⋊C4×D17—24no—
308C22⋊C4×D17—24no—
309C22⋊C4×D17—24no—
310C22⋊C4×D17—24no—
311C22⋊C4×D17—24no—
312C22⋊C4×D17—24no—
313C22⋊C4×D17—24no—
314C22⋊C4×D17—42no—
315C22⋊C4×D17—42no—
316C22⋊C4×D17—42no—
317C42×D17—24no—
318C42×D17—24no—
319C42×D17—42no—
320C42×D17—42no—
321C17×#95C2311yescharacteristic
322C17×#95C2311yescharacteristic
323C17×#95C2311yescharacteristic
324C17×#95C2311yescharacteristic
325C17×#95C2311yescharacteristic
326C17×#95C2311yescharacteristic
327C17×#95C2311yescharacteristic
328C17×#95C2311yescharacteristic
329C17×#95C2311yescharacteristic
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333#10587502C2311yescharacteristic
334#10587502C2311yescharacteristic
335#10587502C2311yescharacteristic
336#10587502C2311yescharacteristic
337#10587502C2311yescharacteristic
338#10587502C2311yescharacteristic
339#10587502C2311yescharacteristic
340#10587502C2311yescharacteristic
341#10587502C2311yescharacteristic
342#10587502C2311yescharacteristic
343#10587502C2311yescharacteristic
344#10587502C2311yescharacteristic
345#10587502C2311yescharacteristic
346#10587502C2311yescharacteristic
347#10587502C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369C24×C17C2411yescharacteristic
370C24×C17C2411yescharacteristic
371C23×D17—22no—
372C23×D17—22no—
373C23×D17—22no—
374C23×D17—22no—
375C23×D17—22no—
376C23×D17—22no—
377C23×D17—22no—
378C23×D17—22no—
379C23×D17—22no—
380C23×D17—22no—
381C23×D17—22no—
382C23×D17—22no—
383C23×D17—22no—
384C23×D17#4114yes—
385C23×D17C2411yescharacteristic
386C23×D17C2411yescharacteristic
387C23×D17C2411yescharacteristic
388C2×D4×C17—22no—
389C2×D4×C17—41no—
390C2×D4×C17—41no—
391C22×C4×C17—22no—
392C22×C4×C17—22no—
393C22×C4×C17—41no—
394C22×C4×C17C2411yescharacteristic
395C22×C4×C17C2411yescharacteristic
396C22×C4×C17C2411yescharacteristic
397C22×C4×C17C2411yescharacteristic
398C22×C4×C17C2411yescharacteristic
399C22×C4×C17C2411yescharacteristic
400C22×C4×C17C2411yescharacteristic
401C22×C4×C17C2411yescharacteristic
402C22×C4×C17C2411yescharacteristic
403C22×C4×C17C2411yescharacteristic
404C22×C4×C17C2411yescharacteristic
405C22×C4×C17C2411yescharacteristic
406C22×C4×C17C2411yescharacteristic
407C2×C22⋊D17—22no—
408C2×C22⋊D17—22no—
409C2×C22⋊D17—41no—
410C2×C22⋊D17—41no—
411C2×C22⋊D17—41no—
412C2×C22⋊D17—41no—
413C22×Dic17—22no—
414C22×Dic17—22no—
415C22×Dic17—41no—
416C22×Dic17C2411yescharacteristic
417C22×Dic17C2411yescharacteristic
418C22×Dic17C2411yescharacteristic
419C22×Dic17C2411yescharacteristic
420C22×Dic17C2411yescharacteristic
421C22×Dic17C2411yescharacteristic
422C22×Dic17C2411yescharacteristic
423C22×Dic17C2411yescharacteristic
424C22×Dic17C2411yescharacteristic
425C22×Dic17C2411yescharacteristic
426C22×Dic17C2411yescharacteristic
427C22×Dic17C2411yescharacteristic
428C22×Dic17C2411yescharacteristic
429D4×D17—416no—
430C2×D68—22no—
431C2×D68—41no—
432C2×D68—41no—
433C2×C4×D17—22no—
434C2×C4×D17—22no—
435C2×C4×D17—22no—
436C2×C4×D17—22no—
437C2×C4×D17—22no—
438C2×C4×D17—22no—
439C2×C4×D17—22no—
440C2×C4×D17—22no—
441C2×C4×D17—22no—
442C2×C4×D17—22no—
443C2×C4×D17—22no—
444C2×C4×D17—22no—
445C2×C4×D17—22no—
446C2×C4×D17—22no—
447C2×C4×D17—22no—
448C2×C4×D17—22no—
449C2×C4×D17—22no—
450C2×C4×D17—22no—
451C2×C4×D17—22no—
452C2×C4×D17—22no—
453C2×C4×D17—22no—
454C2×C4×D17—22no—
455C2×C4×D17—22no—
456C2×C4×D17—22no—
457C2×C4×D17—22no—
458C2×C4×D17—22no—
459C2×C4×D17—22no—
460C2×C4×D17—22no—
461C2×C4×D17—22no—
462C2×C4×D17—22no—
463C2×C4×D17—22no—
464C2×C4×D17—22no—
465C2×C4×D17—22no—
466C2×C4×D17—22no—
467C2×C4×D17—22no—
468C2×C4×D17—22no—
469C2×C4×D17—22no—
470C2×C4×D17—22no—
471C2×C4×D17—22no—
472C2×C4×D17—416no—
473C2×C4×D17—41no—
474C2×C4×D17—41no—
475C2×C4×D17#4114yes—
476C2×C4×D17#4114yes—
477C2×C4×D17#4114yes—
478C2×C4×D17#4114yes—
479C4⋊C4×C17—22no—
480C4⋊C4×C17—22no—
481C4⋊C4×C17—41no—
482C4⋊C4×C17—41no—
483C4⋊C4×C17—41no—
484C4⋊C4×C17—41no—
485C22⋊C4×C17—22no—
486C22⋊C4×C17—22no—
487C22⋊C4×C17—22no—
488C22⋊C4×C17—22no—
489C22⋊C4×C17—22no—
490C22⋊C4×C17—22no—
491C22⋊C4×C17—22no—
492C22⋊C4×C17—22no—
493C22⋊C4×C17—41no—
494C22⋊C4×C17—41no—
495C22⋊C4×C17—41no—
496C42×C17—22no—
497C42×C17—22no—
498C42×C17—41no—
499C42×C17—41no—
500C22⋊Dic17—22no—
501C22⋊Dic17—22no—
502C22⋊Dic17—22no—
503C22⋊Dic17—22no—
504C22⋊Dic17—22no—
505C22⋊Dic17—22no—
506C22⋊Dic17—22no—
507C22⋊Dic17—22no—
508C22⋊Dic17—41no—
509C22⋊Dic17—41no—
510C22⋊Dic17—41no—
511#63227—22no—
512#63227—22no—
513#63227—22no—
514#63227—22no—
515#63227—22no—
516#63227—22no—
517#63227—22no—
518#63227—22no—
519#63227—22no—
520#63227—22no—
521#63227—22no—
522#63227—22no—
523#63227—22no—
524#63227—22no—
525#63227—22no—
526#63227—22no—
527#63227—41no—
528#63227—41no—
529#63227—41no—
530#63227—41no—
531#63227—41no—
532#63227—41no—
533C4⋊Dic17—22no—
534C4⋊Dic17—22no—
535C4⋊Dic17—41no—
536C4⋊Dic17—41no—
537C4⋊Dic17—41no—
538C4⋊Dic17—41no—
539#63225—22no—
540#63225—22no—
541#63225—22no—
542#63225—22no—
543#63225—41no—
544#63225—41no—
545#63225—41no—
546#63225—41no—
547#63225—41no—
548#63225—41no—
549#63225—41no—
550#63225—41no—
551C4×Dic17—22no—
552C4×Dic17—22no—
553C4×Dic17—22no—
554C4×Dic17—22no—
555C4×Dic17—22no—
556C4×Dic17—22no—
557C4×Dic17—41no—
558C4×Dic17—41no—
559C4×Dic17—41no—
560C4×Dic17—41no—
561C4×Dic17—41no—
562C4×Dic17—41no—
563C2×#2518—171nomaximal, Sylow
564C23×C17—21no—
565C23×C17—21no—
566C23×C17—21no—
567C23×C17—21no—
568C23×C17—21no—
569C23×C17—21no—
570C23×C17—21no—
571C23×C17—21no—
572C23×C17—21no—
573C23×C17—21no—
574C23×C17—21no—
575C23×C17—21no—
576C23×C17—21no—
577C23×C17C2×#4112yes—
578C23×C17C2511yescharacteristic
579C22×D17—21no—
580C22×D17—21no—
581C22×D17—21no—
582C22×D17—21no—
583C22×D17—21no—
584C22×D17—21no—
585C22×D17—28no—
586C22×D17—28no—
587C22×D17—28no—
588C22×D17—21no—
589C22×D17—21no—
590C22×D17—21no—
591C22×D17—21no—
592C22×D17—21no—
593C22×D17—21no—
594C22×D17—21no—
595C22×D17—44no—
596C22×D17—44no—
597C22×D17—44no—
598C22×D17—44no—
599C22×D17—44no—
600C22×D17—44no—
601C22×D17—44no—
602C22×D17—44no—
603C22×D17—44no—
604C22×D17—44no—
605C22×D17—44no—
606C22×D17C2×#4112yes—
607C22×D17C2×#4112yes—
608C22×D17C2×#4112yes—
609C22×D17C2×#4112yes—
610C22×D17C2×#4112yes—
611C22×D17C2×#4112yes—
612C22×D17H(5,𝔽2)12yes—
613C22×D17H(5,𝔽2)12yes—
614D4×C17—44no—
615C2×C4×C17—21no—
616C2×C4×C17—21no—
617C2×C4×C17—21no—
618C2×C4×C17—21no—
619C2×C4×C17—21no—
620C2×C4×C17—21no—
621C2×C4×C17—21no—
622C2×C4×C17—21no—
623C2×C4×C17—21no—
624C2×C4×C17—21no—
625C2×C4×C17—21no—
626C2×C4×C17—21no—
627C2×C4×C17—21no—
628C2×C4×C17—21no—
629C2×C4×C17—21no—
630C2×C4×C17—21no—
631C2×C4×C17—21no—
632C2×C4×C17—21no—
633C2×C4×C17—21no—
634C2×C4×C17—21no—
635C2×C4×C17—21no—
636C2×C4×C17—21no—
637C2×C4×C17—21no—
638C2×C4×C17—21no—
639C2×C4×C17—21no—
640C2×C4×C17—21no—
641C2×C4×C17—21no—
642C2×C4×C17—21no—
643C2×C4×C17—21no—
644C2×C4×C17—21no—
645C2×C4×C17—21no—
646C2×C4×C17—21no—
647C2×C4×C17—21no—
648C2×C4×C17—21no—
649C2×C4×C17—21no—
650C2×C4×C17—44no—
651C2×C4×C17C2×#4112yes—
652C2×C4×C17C2×#4112yes—
653C2×C4×C17C2×#4112yes—
654C2×C4×C17C2×#4112yes—
655C22⋊D17—44no—
656C22⋊D17—44no—
657C2×Dic17—21no—
658C2×Dic17—21no—
659C2×Dic17—21no—
660C2×Dic17—21no—
661C2×Dic17—21no—
662C2×Dic17—21no—
663C2×Dic17—21no—
664C2×Dic17—21no—
665C2×Dic17—21no—
666C2×Dic17—21no—
667C2×Dic17—21no—
668C2×Dic17—21no—
669C2×Dic17—21no—
670C2×Dic17—21no—
671C2×Dic17—21no—
672C2×Dic17—21no—
673C2×Dic17—21no—
674C2×Dic17—21no—
675C2×Dic17—21no—
676C2×Dic17—21no—
677C2×Dic17—21no—
678C2×Dic17—21no—
679C2×Dic17—21no—
680C2×Dic17—21no—
681C2×Dic17—21no—
682C2×Dic17—21no—
683C2×Dic17—21no—
684C2×Dic17—21no—
685C2×Dic17—21no—
686C2×Dic17—21no—
687C2×Dic17—21no—
688C2×Dic17—21no—
689C2×Dic17—21no—
690C2×Dic17—21no—
691C2×Dic17—21no—
692C2×Dic17—44no—
693C2×Dic17C2×#4112yes—
694C2×Dic17C2×#4112yes—
695C2×Dic17C2×#4112yes—
696C2×Dic17C2×#4112yes—
697D68—44no—
698C4×D17—28no—
699C4×D17—28no—
700C4×D17—28no—
701C4×D17—28no—
702C4×D17—44no—
703C4×D17—44no—
704C4×D17—44no—
705C4×D17—44no—
706C4×D17—44no—
707C4×D17—44no—
708C4×D17—44no—
709C4×D17—44no—
710C4×D17—44no—
711C4×D17—44no—
712C4×D17—44no—
713#2518—171no—
714#2518—171no—
715#2518—171no—
716#2518—171no—
717#2518—171no—
718#2518—171no—
719#2518—171no—
720#2518—171no—
721#2518—171no—
722#2518—171no—
723#2518—171no—
724#2518—171no—
725#2518—171no—
726#2518—171no—
727#2518—171no—
728#2518D1711yescharacteristic, direct product factor
729C2×#397—171no—
730C2×#396—171no—
731C2×#394—171no—
732C2×#394—171no—
733C2×#389—171no—
734C2×#388—171no—
735C2×#388—171no—
736C2×#388—171no—
737C2×#388—171no—
738C2×#387—171no—
739C2×#386—171no—
740C2×#383—171no—
741C2×#382—171no—
742C2×C4×C22⋊C4—171no—
743C2×C4×C22⋊C4—171no—
744C22×C17—22no—
745C22×C17—22no—
746C22×C17—22no—
747C22×C17—41no—
748C22×C17—41no—
749C22×C17—41no—
750C22×C17—41no—
751C22×C17—41no—
752C22×C17—41no—
753C22×C17—41no—
754C22×C17—41no—
755C22×C17—41no—
756C22×C17—41no—
757C22×C17—41no—
758C22×C17C22×#4111yescharacteristic
759C22×C17C22×#4111yescharacteristic
760C22×C17C22×#4111yescharacteristic
761C22×C17C22×#4111yescharacteristic
762C22×C17C22×#4111yescharacteristic
763C22×C17C2×H(5,𝔽2)11yescharacteristic
764C22×C17C2×H(5,𝔽2)11yescharacteristic
765C2×D17—22no—
766C2×D17—22no—
767C2×D17—22no—
768C2×D17—41no—
769C2×D17—41no—
770C2×D17—41no—
771C2×D17—41no—
772C2×D17—416no—
773C2×D17—41no—
774C2×D17—41no—
775C2×D17—41no—
776C2×D17—41no—
777C2×D17—41no—
778C2×D17—41no—
779C2×D17—41no—
780C2×D17—88no—
781C2×D17#52914yes—
782C2×D17#52914yes—
783C2×D17#53814yes—
784C2×D17#55114yes—
785C2×D17#55314yes—
786C2×D17#55314yes—
787C2×D17#55514yes—
788C4×C17—22no—
789C4×C17—22no—
790C4×C17—22no—
791C4×C17—22no—
792C4×C17—41no—
793C4×C17—41no—
794C4×C17—41no—
795C4×C17—41no—
796C4×C17—41no—
797C4×C17—41no—
798C4×C17—41no—
799C4×C17—41no—
800C4×C17—41no—
801Dic17—22no—
802Dic17—22no—
803Dic17—22no—
804Dic17—22no—
805Dic17—41no—
806Dic17—41no—
807Dic17—41no—
808Dic17—41no—
809Dic17—41no—
810Dic17—41no—
811Dic17—41no—
812Dic17—41no—
813Dic17—41no—
814C23×D4—171no—
815C24×C4—171no—
816C22×C4⋊C4—171no—
817C22×C4⋊C4—171no—
818C22×C4⋊C4—171no—
819C22×C4⋊C4—171no—
820C22×C4⋊C4—171no—
821C22×C4⋊C4—171no—
822C22×C22⋊C4—171no—
823C22×C22⋊C4—171no—
824C22×C22⋊C4—171no—
825C22×C22⋊C4—171no—
826C22×C22⋊C4—171no—
827C22×C22⋊C4—171no—
828C22×C22⋊C4—171no—
829C22×C22⋊C4—171no—
830C22×C22⋊C4—171no—
831C22×C22⋊C4—171no—
832C22×C22⋊C4—171no—
833C22×C42—171no—
834C22×C42—171no—
835C22×C42—171no—
836C22×C42—171no—
837#397—171no—
838#397—171no—
839#397—171no—
840#397—171no—
841#397—171no—
842#397—171no—
843#397—171no—
844#397C2×D1711yescharacteristic, complemented
845#396—171no—
846#396—171no—
847#396—171no—
848#396—171no—
849#396—171no—
850#396—171no—
851#396—171no—
852#396C2×D1711yescharacteristic, complemented
853#394—171no—
854#394—171no—
855#394—171no—
856#394—171no—
857#394—171no—
858#394—171no—
859#394—171no—
860#394—171no—
861#394—171no—
862#394—171no—
863#394—171no—
864#394—171no—
865#394—171no—
866#394—171no—
867#394C2×D1711yescharacteristic
868#394C2×D1711yescharacteristic
869#389—171no—
870#389—171no—
871#389—171no—
872#389—171no—
873#389—171no—
874#389—171no—
875#389—171no—
876#389C2×D1711yescharacteristic, complemented
877#388—171no—
878#388—171no—
879#388—171no—
880#388—171no—
881#388—171no—
882#388—171no—
883#388—171no—
884#388—171no—
885#388—171no—
886#388—171no—
887#388—171no—
888#388—171no—
889#388—171no—
890#388—171no—
891#388—171no—
892#388—171no—
893#388—171no—
894#388—171no—
895#388—171no—
896#388—171no—
897#388—171no—
898#388—171no—
899#388—171no—
900#388—171no—
901#388—171no—
902#388—171no—
903#388—171no—
904#388—171no—
905#388C2×D1711yescharacteristic, complemented
906#388C2×D1711yescharacteristic, complemented
907#388C2×D1711yescharacteristic, complemented
908#388C2×D1711yescharacteristic, complemented
909#387—171no—
910#387—171no—
911#387—171no—
912#387—171no—
913#387—171no—
914#387—171no—
915#387—171no—
916#387C2×D1711yescharacteristic, complemented
917#386—171no—
918#386—171no—
919#386—171no—
920#386—171no—
921#386—171no—
922#386—171no—
923#386—171no—
924#386C2×D1711yescharacteristic
925#383—171no—
926#383—171no—
927#383—171no—
928#383—171no—
929#383—171no—
930#383—171no—
931#383—171no—
932#383C2×D1711yescharacteristic, complemented
933#382—171no—
934#382—171no—
935#382—171no—
936#382—171no—
937#382—171no—
938#382—171no—
939#382—171no—
940#382C2×D1711yescharacteristic, complemented
941C4×C22⋊C4—171no—
942C4×C22⋊C4—171no—
943C4×C22⋊C4—171no—
944C4×C22⋊C4—171no—
945C4×C22⋊C4—171no—
946C4×C22⋊C4—171no—
947C4×C22⋊C4—171no—
948C4×C22⋊C4—171no—
949C4×C22⋊C4—171no—
950C4×C22⋊C4—171no—
951C4×C22⋊C4—171no—
952C4×C22⋊C4—171no—
953C4×C22⋊C4—171no—
954C4×C22⋊C4—171no—
955C4×C22⋊C4C2×D1711yescharacteristic, complemented
956C4×C22⋊C4C2×D1711yescharacteristic, complemented
957C2×#95—171no—
958C2×#95—171no—
959C2×#95—171no—
960C2×#95—171no—
961C2×#95—171no—
962C2×#95—171no—
963C2×#95—171no—
964C2×#95—171no—
965C2×#95—171no—
966C2×#95—171no—
967C2×#95—171no—
968C2×#95—171no—
969C2×C17—42no—
970C2×C17—81no—
971C2×C17C2×#52911yescharacteristic
972C2×C17C2×#52911yescharacteristic
973C2×C17C2×#53811yescharacteristic
974C2×C17C2×#55111yescharacteristic
975C2×C17C2×#55311yescharacteristic
976C2×C17C2×#55311yescharacteristic
977C2×C17C2×#55511yescharacteristic
978D17—42no—
979D17—81no—
980D17#251818yesdirect product factor
981C25—171no—
982C25—171no—
983C22×D4—171no—
984C22×D4—171no—
985C22×D4—171no—
986C22×D4—344no—
987C22×D4—682no—
988C22×D4—682no—
989C22×D4C22×D1711yescharacteristic
990C23×C4—171no—
991C23×C4—171no—
992C23×C4—171no—
993C23×C4—171no—
994C23×C4—171no—
995C23×C4—171no—
996C23×C4—171no—
997C23×C4—171no—
998C23×C4—171no—
999C23×C4—171no—
1000C23×C4—171no—
1001C23×C4—171no—
1002C23×C4—171no—
1003C23×C4—171no—
1004C23×C4—171no—
1005C23×C4—171no—
1006C23×C4—344no—
1007C23×C4—344no—
1008C23×C4—682no—
1009C23×C4C22×D1711yescharacteristic
1010C2×C4⋊C4—171no—
1011C2×C4⋊C4—171no—
1012C2×C4⋊C4—171no—
1013C2×C4⋊C4—171no—
1014C2×C4⋊C4—171no—
1015C2×C4⋊C4—171no—
1016C2×C4⋊C4—171no—
1017C2×C4⋊C4—171no—
1018C2×C4⋊C4—171no—
1019C2×C4⋊C4—171no—
1020C2×C4⋊C4—171no—
1021C2×C4⋊C4—171no—
1022C2×C4⋊C4—171no—
1023C2×C4⋊C4—171no—
1024C2×C4⋊C4—171no—
1025C2×C4⋊C4—171no—
1026C2×C4⋊C4—171no—
1027C2×C4⋊C4—171no—
1028C2×C4⋊C4—344no—
1029C2×C4⋊C4—344no—
1030C2×C4⋊C4—682no—
1031C2×C4⋊C4—682no—
1032C2×C4⋊C4—682no—
1033C2×C4⋊C4—682no—
1034C2×C4⋊C4C22×D1711yescharacteristic
1035C2×C4⋊C4C22×D1711yescharacteristic
1036C2×C4⋊C4C22×D1711yescharacteristic
1037C2×C4⋊C4C22×D1711yescharacteristic
1038C2×C4⋊C4C22×D1711yescharacteristic
1039C2×C4⋊C4C22×D1711yescharacteristic
1040C2×C22⋊C4—171no—
1041C2×C22⋊C4—171no—
1042C2×C22⋊C4—171no—
1043C2×C22⋊C4—171no—
1044C2×C22⋊C4—171no—
1045C2×C22⋊C4—171no—
1046C2×C22⋊C4—171no—
1047C2×C22⋊C4—171no—
1048C2×C22⋊C4—171no—
1049C2×C22⋊C4—171no—
1050C2×C22⋊C4—171no—
1051C2×C22⋊C4—171no—
1052C2×C22⋊C4—171no—
1053C2×C22⋊C4—171no—
1054C2×C22⋊C4—171no—
1055C2×C22⋊C4—171no—
1056C2×C22⋊C4—171no—
1057C2×C22⋊C4—171no—
1058C2×C22⋊C4—171no—
1059C2×C22⋊C4—171no—
1060C2×C22⋊C4—171no—
1061C2×C22⋊C4—171no—
1062C2×C22⋊C4—171no—
1063C2×C22⋊C4—171no—
1064C2×C22⋊C4—171no—
1065C2×C22⋊C4—171no—
1066C2×C22⋊C4—171no—
1067C2×C22⋊C4—171no—
1068C2×C22⋊C4—171no—
1069C2×C22⋊C4—171no—
1070C2×C22⋊C4—171no—
1071C2×C22⋊C4—171no—
1072C2×C22⋊C4—171no—
1073C2×C22⋊C4—344no—
1074C2×C22⋊C4—344no—
1075C2×C22⋊C4—344no—
1076C2×C22⋊C4—344no—
1077C2×C22⋊C4—344no—
1078C2×C22⋊C4—344no—
1079C2×C22⋊C4—344no—
1080C2×C22⋊C4—344no—
1081C2×C22⋊C4—682no—
1082C2×C22⋊C4—682no—
1083C2×C22⋊C4—682no—
1084C2×C22⋊C4C22×D1711yescharacteristic
1085C2×C22⋊C4C22×D1711yescharacteristic
1086C2×C22⋊C4C22×D1711yescharacteristic
1087C2×C22⋊C4C22×D1711yescharacteristic
1088C2×C22⋊C4C22×D1711yescharacteristic
1089C2×C22⋊C4C22×D1711yescharacteristic
1090C2×C22⋊C4C22×D1711yescharacteristic
1091C2×C22⋊C4C22×D1711yescharacteristic
1092C2×C22⋊C4C22×D1711yescharacteristic
1093C2×C22⋊C4C22×D1711yescharacteristic
1094C2×C22⋊C4C22×D1711yescharacteristic
1095C2×C42—171no—
1096C2×C42—171no—
1097C2×C42—171no—
1098C2×C42—171no—
1099C2×C42—171no—
1100C2×C42—171no—
1101C2×C42—171no—
1102C2×C42—171no—
1103C2×C42—171no—
1104C2×C42—171no—
1105C2×C42—171no—
1106C2×C42—171no—
1107C2×C42—344no—
1108C2×C42—344no—
1109C2×C42—682no—
1110C2×C42—682no—
1111C2×C42C22×D1711yescharacteristic
1112C2×C42C22×D1711yescharacteristic
1113C2×C42C22×D1711yescharacteristic
1114C2×C42C22×D1711yescharacteristic
1115#95—171no—
1116#95—171no—
1117#95—171no—
1118#95—171no—
1119#95—171no—
1120#95—171no—
1121#95—171no—
1122#95—171no—
1123#95—171no—
1124#95—171no—
1125#95—171no—
1126#95—171no—
1127#95—171no—
1128#95—171no—
1129#95—171no—
1130#95—171no—
1131#95—171no—
1132#95—171no—
1133#95—171no—
1134#95—171no—
1135#95—171no—
1136#95—171no—
1137#95—171no—
1138#95—171no—
1139#95—171no—
1140#95—171no—
1141#95—171no—
1142#95—171no—
1143#95—171no—
1144#95—171no—
1145#95—171no—
1146#95—171no—
1147#95—171no—
1148#95—171no—
1149#95—171no—
1150#95—171no—
1151#95C22×D1711yescharacteristic
1152#95C22×D1711yescharacteristic
1153#95C22×D1711yescharacteristic
1154#95C22×D1711yescharacteristic
1155#95C22×D1711yescharacteristic
1156#95C22×D1711yescharacteristic
1157#95C22×D1711yescharacteristic
1158#95C22×D1711yescharacteristic
1159#95C22×D1711yescharacteristic
1160#95C22×D1711yescharacteristic
1161#95C22×D1711yescharacteristic
1162#95C22×D1711yescharacteristic
1163C17C2×#251811yescharacteristic, complemented, Sylow
1164C24—171no—
1165C24—174no—
1166C24—171no—
1167C24—171no—
1168C24—342no—
1169C24—342no—
1170C24—342no—
1171C24—342no—
1172C24—342no—
1173C24—342no—
1174C24—342no—
1175C24—342no—
1176C24—342no—
1177C24—342no—
1178C24—342no—
1179C24—342no—
1180C24—342no—
1181C24C23×D1711yescharacteristic
1182C24C23×D1711yescharacteristic
1183C2×D4—22no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—342no—
1187C2×D4—342no—
1188C2×D4—342no—
1189C2×D4—681no—
1190C2×D4—681no—
1191C2×D4—681no—
1192C2×D4—681no—
1193C2×D4—681no—
1194C2×D4—681no—
1195C2×D4—6816no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—41no—
1199C22×C4—171no—
1200C22×C4—171no—
1201C22×C4—171no—
1202C22×C4—171no—
1203C22×C4—174no—
1204C22×C4—174no—
1205C22×C4—174no—
1206C22×C4—174no—
1207C22×C4—171no—
1208C22×C4—171no—
1209C22×C4—171no—
1210C22×C4—171no—
1211C22×C4—171no—
1212C22×C4—171no—
1213C22×C4—171no—
1214C22×C4—171no—
1215C22×C4—171no—
1216C22×C4—342no—
1217C22×C4—342no—
1218C22×C4—342no—
1219C22×C4—342no—
1220C22×C4—342no—
1221C22×C4—342no—
1222C22×C4—342no—
1223C22×C4—342no—
1224C22×C4—342no—
1225C22×C4—342no—
1226C22×C4—342no—
1227C22×C4—342no—
1228C22×C4—342no—
1229C22×C4—342no—
1230C22×C4—342no—
1231C22×C4—342no—
1232C22×C4—342no—
1233C22×C4—342no—
1234C22×C4—342no—
1235C22×C4—342no—
1236C22×C4—342no—
1237C22×C4—342no—
1238C22×C4—342no—
1239C22×C4—342no—
1240C22×C4—342no—
1241C22×C4—342no—
1242C22×C4—342no—
1243C22×C4—342no—
1244C22×C4—342no—
1245C22×C4—342no—
1246C22×C4—342no—
1247C22×C4—342no—
1248C22×C4—342no—
1249C22×C4—342no—
1250C22×C4—342no—
1251C22×C4—342no—
1252C22×C4—342no—
1253C22×C4—342no—
1254C22×C4—342no—
1255C22×C4—342no—
1256C22×C4—342no—
1257C22×C4—681no—
1258C22×C4—681no—
1259C22×C4—6816no—
1260C22×C4—681no—
1261C22×C4C23×D1711yescharacteristic
1262C22×C4C23×D1711yescharacteristic
1263C22×C4C23×D1711yescharacteristic
1264C22×C4C23×D1711yescharacteristic
1265C22×C4C23×D1711yescharacteristic
1266C22×C4C23×D1711yescharacteristic
1267C22×C4C23×D1711yescharacteristic
1268C22×C4C23×D1711yescharacteristic
1269C22×C4C23×D1711yescharacteristic
1270C22×C4C23×D1711yescharacteristic
1271C22×C4C23×D1711yescharacteristic
1272C22×C4C23×D1711yescharacteristic
1273C22×C4C23×D1711yescharacteristic
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—342no—
1281C4⋊C4—342no—
1282C4⋊C4—342no—
1283C4⋊C4—342no—
1284C4⋊C4—342no—
1285C4⋊C4—342no—
1286C4⋊C4—681no—
1287C4⋊C4—681no—
1288C4⋊C4—681no—
1289C4⋊C4—681no—
1290C4⋊C4—681no—
1291C4⋊C4—681no—
1292C4⋊C4—681no—
1293C4⋊C4—681no—
1294C4⋊C4—681no—
1295C4⋊C4—681no—
1296C4⋊C4—681no—
1297C4⋊C4—681no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—342no—
1310C22⋊C4—342no—
1311C22⋊C4—342no—
1312C22⋊C4—342no—
1313C22⋊C4—342no—
1314C22⋊C4—342no—
1315C22⋊C4—342no—
1316C22⋊C4—342no—
1317C22⋊C4—342no—
1318C22⋊C4—342no—
1319C22⋊C4—342no—
1320C22⋊C4—342no—
1321C22⋊C4—342no—
1322C22⋊C4—342no—
1323C22⋊C4—342no—
1324C22⋊C4—342no—
1325C22⋊C4—342no—
1326C22⋊C4—342no—
1327C22⋊C4—342no—
1328C22⋊C4—342no—
1329C22⋊C4—342no—
1330C22⋊C4—342no—
1331C22⋊C4—342no—
1332C22⋊C4—342no—
1333C22⋊C4—681no—
1334C22⋊C4—681no—
1335C22⋊C4—681no—
1336C22⋊C4—681no—
1337C22⋊C4—681no—
1338C22⋊C4—681no—
1339C22⋊C4—681no—
1340C22⋊C4—681no—
1341C22⋊C4—681no—
1342C42—22no—
1343C42—22no—
1344C42—41no—
1345C42—41no—
1346C42—342no—
1347C42—342no—
1348C42—342no—
1349C42—342no—
1350C42—342no—
1351C42—342no—
1352C42—681no—
1353C42—681no—
1354C42—681no—
1355C42—681no—
1356C42—681no—
1357C42—681no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—172no—
1372C23—172no—
1373C23—172no—
1374C23—172no—
1375C23—172no—
1376C23—172no—
1377C23—172no—
1378C23—172no—
1379C23—348no—
1380C23—348no—
1381C23—348no—
1382C23—341no—
1383C23—341no—
1384C23—341no—
1385C23—341no—
1386C23—341no—
1387C23—341no—
1388C23—341no—
1389C23—341no—
1390C23—341no—
1391C23—341no—
1392C23—341no—
1393C23—341no—
1394C23—341no—
1395C23—684no—
1396C23—684no—
1397C23—684no—
1398C23—684no—
1399C23—684no—
1400C23—684no—
1401C23—684no—
1402C23—684no—
1403C23—684no—
1404C23—684no—
1405C23—684no—
1406C23#41×D1712yes—
1407C23C24×D1711yescharacteristic
1408D4—44no—
1409D4—684no—
1410D4—684no—
1411D4—684no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—44no—
1448C2×C4—172no—
1449C2×C4—172no—
1450C2×C4—172no—
1451C2×C4—172no—
1452C2×C4—348no—
1453C2×C4—348no—
1454C2×C4—348no—
1455C2×C4—348no—
1456C2×C4—341no—
1457C2×C4—341no—
1458C2×C4—341no—
1459C2×C4—341no—
1460C2×C4—341no—
1461C2×C4—341no—
1462C2×C4—341no—
1463C2×C4—341no—
1464C2×C4—341no—
1465C2×C4—341no—
1466C2×C4—341no—
1467C2×C4—341no—
1468C2×C4—341no—
1469C2×C4—341no—
1470C2×C4—341no—
1471C2×C4—341no—
1472C2×C4—341no—
1473C2×C4—341no—
1474C2×C4—341no—
1475C2×C4—341no—
1476C2×C4—341no—
1477C2×C4—341no—
1478C2×C4—341no—
1479C2×C4—341no—
1480C2×C4—341no—
1481C2×C4—341no—
1482C2×C4—341no—
1483C2×C4—341no—
1484C2×C4—341no—
1485C2×C4—341no—
1486C2×C4—341no—
1487C2×C4—341no—
1488C2×C4—341no—
1489C2×C4—341no—
1490C2×C4—341no—
1491C2×C4—684no—
1492C2×C4—684no—
1493C2×C4—684no—
1494C2×C4—684no—
1495C2×C4—684no—
1496C2×C4—684no—
1497C2×C4—684no—
1498C2×C4—684no—
1499C2×C4—684no—
1500C2×C4—684no—
1501C2×C4—684no—
1502C2×C4—684no—
1503C2×C4#41×D1712yes—
1504C2×C4#41×D1712yes—
1505C2×C4#41×D1712yes—
1506C2×C4#41×D1712yes—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—174no—
1522C22—174no—
1523C22—174no—
1524C22—174no—
1525C22—174no—
1526C22—174no—
1527C22—174no—
1528C22—342no—
1529C22—342no—
1530C22—342no—
1531C22—6816no—
1532C22—681no—
1533C22—681no—
1534C22—681no—
1535C22—681no—
1536C22—681no—
1537C22—681no—
1538C22—681no—
1539C22—681no—
1540C22—681no—
1541C22—681no—
1542C22—681no—
1543C22—1368no—
1544C22C2×#41×D1711yescharacteristic
1545C22C2×#41×D1711yescharacteristic
1546C22C2×#41×D1711yescharacteristic
1547C22C2×#41×D1711yescharacteristic
1548C22C2×#41×D1711yescharacteristic
1549C22H(5,𝔽2)×D1711yescharacteristic
1550C22H(5,𝔽2)×D1711yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—342no—
1565C4—342no—
1566C4—342no—
1567C4—342no—
1568C4—681no—
1569C4—681no—
1570C4—681no—
1571C4—681no—
1572C4—681no—
1573C4—681no—
1574C4—681no—
1575C4—681no—
1576C4—681no—
1577C2—42no—
1578C2—81no—
1579C2—178no—
1580C2—682no—
1581C2—1361no—
1582C2D17×#52911yescharacteristic
1583C2D17×#52911yescharacteristic
1584C2D17×#53811yescharacteristic
1585C2D17×#55111yescharacteristic
1586C2D17×#55311yescharacteristic
1587C2D17×#55311yescharacteristic
1588C2D17×#55511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2518C2
prime radicalC22×D4×D17C22
hypercenter#2518D17
hypocenterC17C2×#2518
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2518

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #14533449C2semidirect
2. #14533448C2semidirect
3. #14533447C2semidirect
4. #14533446C2semidirect
5. #14533445C2semidirect
6. #14533444C2semidirect
7. #14533443C2semidirect
8. #14533442C2semidirect
9. #14533441C2semidirect
10. #14533440C2semidirect
11. #14533439C2semidirect
12. #14533438C2semidirect
13. #14533437C2semidirect
14. #14533436C2semidirect
15. #14533435C2semidirect
16. D17×#397C2semidirect
17. D17×#396C2semidirect
20. D17×#389C2semidirect
21. D17×#388C2semidirect
22. D17×#388C2semidirect
23. D17×#388C2semidirect
24. D17×#388C2semidirect
25. D17×#387C2semidirect
27. D17×#383C2semidirect
28. D17×#382C2semidirect
29. C4×C22⋊C4×D17C2semidirect
30. C4×C22⋊C4×D17C2semidirect
31. C17×#2518C2semidirect
55. #11762738C22semidirect
56. #11762738C22semidirect
57. #11762737C22semidirect
58. #11762737C22semidirect
59. #11762736C22semidirect
60. #11762735C22semidirect
61. #11762734C22semidirect
62. #11762733C22semidirect
63. #11762732C22semidirect
64. #11762732C22semidirect
65. #11762732C22semidirect
66. #11762731C22semidirect
67. #11762731C22semidirect
68. #11762731C22semidirect
83. #11762708C22semidirect
84. #11762707C22semidirect
85. #11762706C22semidirect
86. #11762706C22semidirect
87. #11762705C22semidirect
88. #11762704C22semidirect
89. #11762704C22semidirect
90. #11762703C22semidirect
91. #11762703C22semidirect
92. #11762703C22semidirect
93. #11762703C22semidirect
94. #11762702C22semidirect
95. #11762702C22semidirect
96. #11762702C22semidirect
97. #11762702C22semidirect
98. #11762701C22semidirect
99. #11762701C22semidirect
100. #11762701C22semidirect
101. #11762701C22semidirect
102. #11762700C22semidirect
103. #11762700C22semidirect
104. #11762700C22semidirect
105. #11762700C22semidirect
106. #11762699C22semidirect
107. #11762699C22semidirect
108. #11762699C22semidirect
109. #11762699C22semidirect
110. #11762698C22semidirect
111. #11762698C22semidirect
112. #11762698C22semidirect
113. #11762698C22semidirect
114. #11762697C22semidirect
115. #11762697C22semidirect
116. #11762697C22semidirect
117. #11762697C22semidirect
118. #11762696C22semidirect
119. #11762695C22semidirect
120. #11762694C22semidirect
121. #11762693C22semidirect
122. #11762692C22semidirect
123. #11762691C22semidirect
124. #11762690C22semidirect
132. #11762677C22semidirect
133. #11762676C22semidirect
134. #11762676C22semidirect
135. #11762676C22semidirect
136. #11762676C22semidirect
137. #11762676C22semidirect
138. #11762676C22semidirect
139. #11762675C22semidirect
140. #11762674C22semidirect
141. #11762674C22semidirect
142. #11762673C22semidirect
143. #11762673C22semidirect
144. #11762673C22semidirect
145. #11762673C22semidirect
146. C22⋊C4×Dic17C22semidirect
147. C22⋊C4×Dic17C22semidirect
148. C22⋊C4×Dic17C22semidirect
149. C22⋊C4×Dic17C22semidirect
150. C4×#63227C22semidirect
151. C4×#63227C22semidirect
152. C4×#63227C22semidirect
153. C4×#63227C22semidirect
154. C4×C22⋊Dic17C22semidirect
155. C4×C22⋊Dic17C22semidirect
156. #11762656C22semidirect
157. #11762656C22semidirect
158. #11762656C22semidirect
159. #11762656C22semidirect
172. C17×#397C22semidirect
173. C17×#396C22semidirect
176. C17×#389C22semidirect
177. C17×#388C22semidirect
178. C17×#388C22semidirect
179. C17×#388C22semidirect
180. C17×#388C22semidirect
181. C17×#387C22semidirect
183. C17×#383C22semidirect
184. C17×#382C22semidirect
185. C4×C22⋊C4×C17C22semidirect
186. C4×C22⋊C4×C17C22semidirect
728. #2518D17direct (N × H)
844. #397C2×D17semidirect
852. #396C2×D17semidirect
876. #389C2×D17semidirect
905. #388C2×D17semidirect
906. #388C2×D17semidirect
907. #388C2×D17semidirect
908. #388C2×D17semidirect
916. #387C2×D17semidirect
932. #383C2×D17semidirect
940. #382C2×D17semidirect
955. C4×C22⋊C4C2×D17semidirect
956. C4×C22⋊C4C2×D17semidirect
980. D17#2518direct (N × H)
1163. C17C2×#2518semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#145334492
#145334482
#145334472
#145334462
#145334452
#145334442
#145334432
#145334422
#145334412
#145334402
#145334392
#145334382
#145334372
#145334362
#145334352
D17×#3972
D17×#3962
D17×#3942
D17×#3892
D17×#3882
D17×#3872
D17×#3862
D17×#3832
D17×#3822
C4×C22⋊C4×D172
C17×#25182
C2×#251817